Search a number
-
+
132104333344140 = 22335244637654341
BaseRepresentation
bin11110000010010111101111…
…110111001011110110001100
3122022202001101010110011122000
4132002113233313023312030
5114303344133314003030
61144543520512352300
736553136350045443
oct3602275767136614
9568661333404560
10132104333344140
1139102151246763
1212996855b45690
135893501321641
142489c533d5d5a
15104150be2e860
hex7825efdcbd8c

132104333344140 has 48 divisors (see below), whose sum is σ = 410991259294560. Its totient is φ = 35227822224960.

The previous prime is 132104333344117. The next prime is 132104333344189. The reversal of 132104333344140 is 41443333401231.

132104333344140 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 433 + 33 + 44 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132104333344095 and 132104333344104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122318826631 + ... + 122318827710.

It is an arithmetic number, because the mean of its divisors is an integer number (8562317901970).

Almost surely, 2132104333344140 is an apocalyptic number.

132104333344140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104333344140 is an abundant number, since it is smaller than the sum of its proper divisors (278886925950420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132104333344140 is a wasteful number, since it uses less digits than its factorization.

132104333344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244637654359 (or 244637654351 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132104333344140 its reverse (41443333401231), we get a palindrome (173547666745371).

The spelling of 132104333344140 in words is "one hundred thirty-two trillion, one hundred four billion, three hundred thirty-three million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 244637654341 489275308682 733912963023 978550617364 1223188271705 1467825926046 2201738889069 2446376543410 2935651852092 3669564815115 4403477778138 4892753086820 6605216667207 7339129630230 8806955556276 11008694445345 13210433334414 14678259260460 22017388890690 26420866668828 33026083336035 44034777781380 66052166672070 132104333344140